Answer:
[tex]S=4\frac{1}{2}\rightarrow\text{ Option \lparen B\rparen}[/tex]Explanation: The recipe for pumpkin pie calls for 1 1/4 cups of sugar, we need to make 4 pie, therefore the required sugar cups is as follows:
[tex]\begin{gathered} S_4=4\times1\frac{1}{4}=4\times\frac{5}{4}=\frac{20}{4}=5 \\ \end{gathered}[/tex]Alana already has a 1/2 cup of sugar, there she needs additional following cups:
[tex]\begin{gathered} S=5-\frac{1}{2}=\frac{5}{1}-\frac{1}{2} \\ S=\frac{5}{1}-\frac{1}{2}=\frac{10}{2}-\frac{1}{2} \\ S=\frac{9}{2}=4\frac{1}{2} \\ S=4\frac{1}{2} \end{gathered}[/tex]Therefore Alana needs 4 and a half additional cups of sugar.